What is the Greatest Common Factor of 60384 and 60404?

Greatest common factor (GCF) of 60384 and 60404 is 4.

GCF(60384,60404) = 4

We will now calculate the prime factors of 60384 and 60404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60384 and 60404.

How to find the GCF of 60384 and 60404?

We will first find the prime factorization of 60384 and 60404. After we will calculate the factors of 60384 and 60404 and find the biggest common factor number .

Step-1: Prime Factorization of 60384

Prime factors of 60384 are 2, 3, 17, 37. Prime factorization of 60384 in exponential form is:

60384 = 2⁵ × 3¹ × 17¹ × 37¹

Step-2: Prime Factorization of 60404

Prime factors of 60404 are 2, 15101. Prime factorization of 60404 in exponential form is:

60404 = 2² × 15101¹

Step-3: Factors of 60384

List of positive integer factors of 60384 that divides 60384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 37, 48, 51, 68, 74, 96, 102, 111, 136, 148, 204, 222, 272, 296, 408, 444, 544, 592, 629, 816, 888, 1184, 1258, 1632, 1776, 1887, 2516, 3552, 3774, 5032, 7548, 10064, 15096, 20128, 30192

Step-4: Factors of 60404

List of positive integer factors of 60404 that divides 60384 without a remainder.

1, 2, 4, 15101, 30202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60384 and 60404. The biggest common factor number is the GCF number.
So the greatest common factor 60384 and 60404 is 4.

Also check out the Least Common Multiple of 60384 and 60404